
We introduce three natural equivalence relations among Legendrian singularities and study their properties by using recent results of the theory of singularities of smooth map germs.
Differentiable maps on manifolds, Legendrian map germs, Legendrian equivalent, Legendrian stability, Theory of singularities and catastrophe theory, Legendrian immersion, wave front set, Singularities of differentiable mappings in differential topology
Differentiable maps on manifolds, Legendrian map germs, Legendrian equivalent, Legendrian stability, Theory of singularities and catastrophe theory, Legendrian immersion, wave front set, Singularities of differentiable mappings in differential topology
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